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Multilinear Hausdorff operators on some function spaces with variable exponent (1709.08185v1)
Published 24 Sep 2017 in math.CA
Abstract: The aim of the present paper is to give necessary and sufficient conditions for the boundedness of a general class of multilinear Hausdorff operators that acts on the product of some weighted function spaces with variable exponent such as the weighted Lebesgue, Herz, central Morrey and Morrey-Herz type spaces with variable exponent. Our results improve and generalize some previous known results.